A determinant formula for relative congruence zeta functions for cyclotomic function fields
Number Theory
2015-05-13 v2 Rings and Algebras
Abstract
Rosen M. gave a determinant formula for relative class numbers for the P-th cyclotomic function fields in the case of the monic irreducible polynomial P, which is regarded as an analogue of the classical Maillet determinant. In this paper, we will give a determinant formula for the relative congruence zeta functions for cyclotomic function fields. Our formula is regarded as a generalization of the determinant formula for the relative class number.
Keywords
Cite
@article{arxiv.0906.3129,
title = {A determinant formula for relative congruence zeta functions for cyclotomic function fields},
author = {Daisuke Shiomi},
journal= {arXiv preprint arXiv:0906.3129},
year = {2015}
}
Comments
15 pages